Over the past four decades, projection ROMs have been used in the numerical simulation of fluid flows [1]}, [2]}, [3]}, [4]}, [5]}, [6]}.
In this tutorial, we exclusively consider projection ROMs that use numerical or experimental data to find the “best" basis, which is then used together with the Galerkin method to construct the ROM.
In this section, we present the main steps in the construction of the Galerkin ROM.
